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Finding the Third Proportional to 8,584,770 and 11,617,443

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Solution

The third proportional to 8,584,770 and 11,617,443 is: 15,721,444.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,584,770 : 11,617,443 = 11,617,443 : x
  2. Step 2: Convert to fraction form
    8,584,770/11,617,443 = 11,617,443/x
  3. Step 3: Cross multiply
    8,584,770x = 11,617,443 × 11,617,443
  4. Step 4: Simplify right side
    8,584,770x = 134,964,981,858,249
  5. Step 5: Solve for x
    x = 134,964,981,858,249/8,584,770
  6. Step 6: Final answer
    x = 15,721,444.12

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.